11.5: Solving Many Systems (at the same time)

from urllib.request import urlretrieve
urlretrieve('https://raw.githubusercontent.com/colbrydi/jupytercheck/master/answercheck.py', 
            'answercheck.py');

from IPython.display import YouTubeVideo
YouTubeVideo("k5fdGS5b4OU",width=640,height=360, cc_load_policy=True)

Consider the Giselle example from above. Her earnings do not change (i.e. she makes $20 per hour as a carpenter and $25 per hour as a blacksmith). However, now she has worked two more weeks. In the second week, she worked for a total of 35 hours and earned $750. In the third week, she worked for a total of 30 hours and earned $650. How much did she work as a carpenter and blacksmith for each of those weeks? In other words:

Week 1:

\( c + b = 30 \)

\( 20c + 25b = 690 \)

Week 2:

\( c + b = 35 \)

\( 20c + 25b = 750 \)

Week 3:

\( c + b = 30 \)

\( 20c + 25b = 650 \)

Do This

Write a \(2 \times 5\) augmented matrix representing the 6 equations above. Name your Matrix \(G\) to verify your answer using the checkanswer function below.

#Put your answer to the above quation here

from answercheck import checkanswer

checkanswer.matrix(G,'a1e01de142199370be70131849fbf108');